line through two points

Practise line through two points with an original VectorPaths question, worked explanation and related VCE Methods practice.

3 practice marks

Original practice question

Find the equation of the straight line through $A(-2, 1)$ and $B(4, 10)$. Give an exact answer.

Worked explanation

• Calculate the gradient

  $m=\frac{10-(1)}{4-(-2)}=\frac{3}{2}$.

• Use point-gradient form

  $y-(1)=\frac{3}{2}(x-(-2))$.

• Simplify

  $y=\frac{3 x}{2} + 4$.

$y=\frac{3 x}{2} + 4$.

Original VectorPaths practice; not an official VCAA question or marking rubric.